Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2963 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 4474 sq.m. of land in 15 days. workers Answer:_______________ |
| 2) If 2444 sq.m. of land can be tilled by 19 workers in 6 days , how many workers are neede to till 4481 sq.m. of land in 13 days. workers Answer:_______________ |
| 3) If 2717 sq.m. of land can be tilled by 19 workers in 10 days , how many workers are neede to till 4021 sq.m. of land in 15 days. workers Answer:_______________ |
| 4) If 2165 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 4286 sq.m. of land in 12 days. workers Answer:_______________ |
| 5) If 2879 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 4890 sq.m. of land in 13 days. workers Answer:_______________ |
| 6) If 2197 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 4448 sq.m. of land in 12 days. workers Answer:_______________ |
| 7) If 2249 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 5796 sq.m. of land in 12 days. workers Answer:_______________ |
| 8) If 2930 sq.m. of land can be tilled by 19 workers in 5 days , how many workers are neede to till 5148 sq.m. of land in 12 days. workers Answer:_______________ |
| 9) If 2168 sq.m. of land can be tilled by 20 workers in 9 days , how many workers are neede to till 5374 sq.m. of land in 12 days. workers Answer:_______________ |
| 10) If 2679 sq.m. of land can be tilled by 17 workers in 7 days , how many workers are neede to till 5415 sq.m. of land in 15 days. workers Answer:_______________ |
| 1) If 2963 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 4474 sq.m. of land in 15 days. Answer: 12 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2963 to 4474.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.50995612555 x 0.4 x 20 = 12 workers |
| 2) If 2444 sq.m. of land can be tilled by 19 workers in 6 days , how many workers are neede to till 4481 sq.m. of land in 13 days. Answer: 16 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2444 to 4481.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.83346972177 x 0.461538461538 x 19 = 16 workers |
| 3) If 2717 sq.m. of land can be tilled by 19 workers in 10 days , how many workers are neede to till 4021 sq.m. of land in 15 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2717 to 4021.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 10 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.47994111152 x 0.666666666667 x 19 = 19 workers |
| 4) If 2165 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 4286 sq.m. of land in 12 days. Answer: 18 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2165 to 4286.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 1.97967667436 x 0.5 x 18 = 18 workers |
| 5) If 2879 sq.m. of land can be tilled by 17 workers in 9 days , how many workers are neede to till 4890 sq.m. of land in 13 days. Answer: 20 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2879 to 4890.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 1.69850642584 x 0.692307692308 x 17 = 20 workers |
| 6) If 2197 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 4448 sq.m. of land in 12 days. Answer: 24 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2197 to 4448.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.02457897132 x 0.583333333333 x 20 = 24 workers |
| 7) If 2249 sq.m. of land can be tilled by 20 workers in 6 days , how many workers are neede to till 5796 sq.m. of land in 12 days. Answer: 26 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2249 to 5796.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.57714539795 x 0.5 x 20 = 26 workers |
| 8) If 2930 sq.m. of land can be tilled by 19 workers in 5 days , how many workers are neede to till 5148 sq.m. of land in 12 days. Answer: 14 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2930 to 5148.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.75699658703 x 0.416666666667 x 19 = 14 workers |
| 9) If 2168 sq.m. of land can be tilled by 20 workers in 9 days , how many workers are neede to till 5374 sq.m. of land in 12 days. Answer: 37 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2168 to 5374.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.47878228782 x 0.75 x 20 = 37 workers |
| 10) If 2679 sq.m. of land can be tilled by 17 workers in 7 days , how many workers are neede to till 5415 sq.m. of land in 15 days. Answer: 16 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2679 to 5415.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 2.02127659574 x 0.466666666667 x 17 = 16 workers |